A224229 - cp's OEIS frontend

A224229 a(0)=2; for n>0, a(n) = smallest prime not occurring earlier in the sequence such that a(n-1)+a(n) is a multiple of floor(sqrt(n)). If no such prime exists, the sequence terminates.

n	a(n)
0	2
1	3
2	5
3	7
4	11
5	13
6	17
7	19
8	23
9	31
10	29
11	37
12	41
13	43
14	47
15	61
16	59
17	53
18	67
19	73
20	71
21	89
22	79
23	97
24	83
25	107
26	103
27	127
28	113
29	137
30	163
31	157
32	173
33	167
34	193
35	197
36	109
37	101
38	139
39	131
40	151
41	149
42	181
43	179
44	199
45	191
46	211
47	227
48	223
49	239
50	251
51	281
52	293
53	337
54	307
55	379
56	349
57	421
58	419
59	449
60	433
61	463
62	461
63	491
64	229
65	283
66	269
67	331
68	277
69	347
70	317
71	443
72	373
73	467
74	389
75	499
76	397
77	523

[2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 29, 37, 41, 43, 47, 61, 59, 53, 67, 73, 71, 89, 79, 97, 83, 107, 103, 127, 113, 137, 163, 157, 173, 167, 193, 197, 109, 101, 139, 131, 151, 149, 181, 179, 199, 191, 211, 227, 223, 239, 251, 281, 293, 337, 307, 379, 349, 421, 419, 449, 433, 463, 461, 491, 229, 283, 269, 331, 277, 347, 317, 443, 373, 467, 389, 499, 397, 523]

cp's OEIS Frontend

A224229 a(0)=2; for n>0, a(n) = smallest prime not occurring earlier in the sequence such that a(n-1)+a(n) is a multiple of floor(sqrt(n)). If no such prime exists, the sequence terminates.

Table of values

List of values

n	a(n)
0	2
1	3
2	5
3	7
4	11
5	13
6	17
7	19
8	23
9	31
10	29
11	37
12	41
13	43
14	47
15	61
16	59
17	53
18	67
19	73
20	71
21	89
22	79
23	97
24	83
25	107
26	103
27	127
28	113
29	137
30	163
31	157
32	173
33	167
34	193
35	197
36	109
37	101
38	139
39	131
40	151
41	149
42	181
43	179
44	199
45	191
46	211
47	227
48	223
49	239
50	251
51	281
52	293
53	337
54	307
55	379
56	349
57	421
58	419
59	449
60	433
61	463
62	461
63	491
64	229
65	283
66	269
67	331
68	277
69	347
70	317
71	443
72	373
73	467
74	389
75	499
76	397
77	523

n	a(n)
0	2
1	3
2	5
3	7
4	11
5	13
6	17
7	19
8	23
9	31
10	29
11	37
12	41
13	43
14	47
15	61
16	59
17	53
18	67
19	73
20	71
21	89
22	79
23	97
24	83
25	107
26	103
27	127
28	113
29	137
30	163
31	157
32	173
33	167
34	193
35	197
36	109
37	101
38	139
39	131
40	151
41	149
42	181
43	179
44	199
45	191
46	211
47	227
48	223
49	239
50	251
51	281
52	293
53	337
54	307
55	379
56	349
57	421
58	419
59	449
60	433
61	463
62	461
63	491
64	229
65	283
66	269
67	331
68	277
69	347
70	317
71	443
72	373
73	467
74	389
75	499
76	397
77	523

n	a(n)
0	2
1	3
2	5
3	7
4	11
5	13
6	17
7	19
8	23
9	31
10	29
11	37
12	41
13	43
14	47
15	61
16	59
17	53
18	67
19	73
20	71
21	89
22	79
23	97
24	83
25	107
26	103
27	127
28	113
29	137
30	163
31	157
32	173
33	167
34	193
35	197
36	109
37	101
38	139
39	131
40	151
41	149
42	181
43	179
44	199
45	191
46	211
47	227
48	223
49	239
50	251
51	281
52	293
53	337
54	307
55	379
56	349
57	421
58	419
59	449
60	433
61	463
62	461
63	491
64	229
65	283
66	269
67	331
68	277
69	347
70	317
71	443
72	373
73	467
74	389
75	499
76	397
77	523